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Finding the Third Proportional to 9,287,260 and 14,351,178

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Solution

The third proportional to 9,287,260 and 14,351,178 is: 22,176,218.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287,260 : 14,351,178 = 14,351,178 : x
  2. Step 2: Convert to fraction form
    9,287,260/14,351,178 = 14,351,178/x
  3. Step 3: Cross multiply
    9,287,260x = 14,351,178 × 14,351,178
  4. Step 4: Simplify right side
    9,287,260x = 205,956,309,987,684
  5. Step 5: Solve for x
    x = 205,956,309,987,684/9,287,260
  6. Step 6: Final answer
    x = 22,176,218.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.